VeritasPrepKarishma wrote:
aselfmademan wrote:
What is greatest positive integer n such that 2^n is a factor of 12^10?
a)10
b)12
c)16
d)20
e)60
Please show me the easy way to solve such question...
\(12^{10} = (2^2*3)^{10} = 2^{20}*3^{10}\)
The greatest value of n such that \(2^n\) is a factor of \(12^{10}\) is 20.
Such questions are more popular and a little more complex with factorials. e.g. What is greatest positive integer n such that \(2^n\) is a factor of 12!
Try this one.
Thank you very much..........
I am very weak in this type of PS math
Could you please explain 12! math you have given ?
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